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Finding the Third Proportional to 126,873 and 278,851

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Solution

The third proportional to 126,873 and 278,851 is: 612,879.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,873 : 278,851 = 278,851 : x
  2. Step 2: Convert to fraction form
    126,873/278,851 = 278,851/x
  3. Step 3: Cross multiply
    126,873x = 278,851 × 278,851
  4. Step 4: Simplify right side
    126,873x = 77,757,880,201
  5. Step 5: Solve for x
    x = 77,757,880,201/126,873
  6. Step 6: Final answer
    x = 612,879.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.